The length of the rectangular table cloth is [tex]\mathbf{ 3\dfrac{1}{3} m}[/tex]
What is a rectangle?
A rectangle is a plane figure that has an equal size of the opposite side. These sides are called the length and the width.
Mathematically;
The area of the rectangle = Length × width
From the parameters given:
- Area of a rectangle = 4 1/6 square meters.
- The width = 1 1/4 meters
Using the formula for the area of a rectangle, we have:
[tex]\mathbf{4 \dfrac{1}{6} m^2 =length \times 1 \dfrac{1}{4} \ m }[/tex]
[tex]\mathbf{ \dfrac{25}{6} m^2 =length \times \dfrac{5}{4} \ m }[/tex]
Multiply both sides by [tex]\mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}[/tex]; we have:
[tex]\mathbf{ \dfrac{25}{6} m^2 \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}} =length \times \dfrac{5}{4} \ m \times \mathbf{\dfrac{4}{5}\times \dfrac{1} {m}}}[/tex]
[tex]\mathbf{ length = \dfrac{25}{6} m \times \mathbf{\dfrac{4}{5}} }[/tex]
[tex]\mathbf{ length = \dfrac{5}{3} m \times \mathbf{\dfrac{2}{1}} }[/tex]
[tex]\mathbf{ length = \dfrac{10}{3} m}[/tex]
[tex]\mathbf{ length = 3\dfrac{1}{3} m}[/tex]
Learn more about the area of a rectangle here:
https://brainly.com/question/2289467
